Fifth-order iterative methods for solving nonlinear equations

被引：21

作者：

Noor, Muhammad Aslam ^{[1
]}

Noor, Khalida Inayat ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 188卷 / 01期

关键词：

nonlinear equations; iterative methods; convergence; examples; comparison;

D O I：

10.1016/j.amc.2006.10.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we suggest and analyze a new two-step iterative method for solving nonlinear equation f(x) = 0 by rewriting the given nonlinear equation as a coupled system of equations and using the Taylor series. It is shown that this new iterative method is of fifth-order. Several examples are given to illustrate its performance and efficiency. Comparison with other methods is also given. This method can be viewed as an improvement of the Halley's method. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：406 / 410

页数：5

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